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Finding the Fourth Proportional to 40.31, 55.64 and 25.77

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Solution

The fourth proportional to 40.31, 55.64 and 25.77 is: 35.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.31 : 55.64 = 25.77 : x
  2. Step 2: Convert to fraction form
    40.31/55.64 = 25.77/x
  3. Step 3: Cross multiply
    40.31x = 55.64 × 25.77
  4. Step 4: Simplify right side
    40.31x = 1,433.71
  5. Step 5: Solve for x
    x = 1,433.71/40.31
  6. Step 6: Final answer
    x = 35.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.